Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets

Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (<A>, <neutA>, <antiA>), where <A> is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, <antiA> is the opposite of <A>, while <neutA> is the neutral (or indeterminate) between them, i.e., neith... Ausführliche Beschreibung

1. Person: Ali, Mumtaz
Weitere Personen: Zhang, Xiaohong; Smarandache, Florentin
Format: E-Buch
Veröffentlicht: MDPI - Multidisciplinary Digital Publishing Institute 2019
Beschreibung: 1 electronic resource (478 p.)
Schlagworte: multiple attribute group decision making (MAGDM)
cosine measure
extended TOPSIS method
multiple attribute decision-making
data mining
2ingle-valued neutrosophic set
neutrosophic association rule
complex neutrosophic graph
possibility degree
grasping configurations
neutrosophic triplet groups
typhoon disaster evaluation
aggregation operator
neutrosophic bipolar fuzzy set
LNGWPBM operator
big data
dual domains
Linguistic neutrosophic sets
complex neutrosophic set
matrix representation
oracle Turing machines
2-tuple linguistic neutrosophic sets (2TLNSs)
soft sets
neutrosophic sets
quasi neutrosophic triplet loop
PA operator
commutative generalized neutrosophic ideal
analytic hierarchy process (AHP)
school administrator
2TLNNs TODIM method
multi-criteria group decision-making
fundamental neutro-homomorphism theorem
three-way decisions
NC power dual MM operator (NCPDMM) operator
bipolar fuzzy set
single-valued neutrosophic multisets
neutrosophic big data
fuzzy time series
VIKOR model
skin cancer
totally dependent-neutrosophic soft set
medical diagnosis
neutrosophic multiset (NM)
simplified neutrosophic linguistic numbers
robotic dexterous hands
partial metric spaces (PMS)
neutrosophic triplet cosets
Jaccard measure
NCPMM operator
interval neutrosophic weighted exponential aggregation (INWEA) operator
integrated weight
generalized neutrosophic set
criterion functions
neutrosophic rough set
quasi neutrosophic triplet group
triangular fuzzy neutrosophic sets (TFNSs)
probabilistic rough sets over two universes
de-neutrosophication methods
generalized aggregation operators
fault diagnosis
first neutro-isomorphism theorem
interval neutrosophic numbers (INNs)
multi-attribute decision making (MADM)
classical group of neutrosophic triplets
Neutrosophic cubic sets
quantum computation
neutrosophic triplet group (NTG)
linear and non-linear neutrosophic number
single valued neutrosophic multiset (SVNM)
and second neutro-isomorphism theorem
LNGPBM operator
neutrosophic set theory
neutrosophic triplet set (NTS)
generalized neutrosophic ideal
Muirhead mean
two universes
multiple attribute group decision-making (MAGDM)
expert set
multi-criteria decision-making (MCDM) techniques
oracle computation
SWOT analysis
grasp type
generalized partitioned Bonferroni mean operator
single valued trapezoidal neutrosophic number
multicriteria decision-making
interval number
decision making
inclusion relation
power aggregation operator
region growing
interval neutrosophic set (INS)
two-factor fuzzy logical relationship
neutrosophic bipolar fuzzy weighted averaging operator
neutrosophic triplet
power aggregation operators
interval-valued neutrosophic set
action learning
interval valued neutrosophic support soft sets
neutrosophic set
pseudo primitive elements
multi-criteria group decision-making (MCGDM)
recursive enumerability
multi-valued neutrosophic set
neutrosophic triplet set
interdependency of criteria
Bonferroni mean
probabilistic single-valued (interval) neutrosophic hesitant fuzzy set
MCGDM problems
fuzzy measure
neutrosophic triplet quotient groups
applications of neutrosophic cubic graphs
support soft sets
single valued neutrosophic set (SVNS)
neutrosophic triplet group
(commutative) ideal
homomorphism theorem
prioritized operator
Hamming distance
normal distribution
Fenyves identities
linguistic neutrosophic sets
TFNNs VIKOR method
similarity measures
dependent degree
multi-attribute group decision-making (MAGDM)
emerging technology commercialization
potential evaluation
generalized group
semi-neutrosophic triplets
hesitant fuzzy set
neutrosophic triplet normal subgroups
soft set
neutrosophic duplets
neutrosophic cubic set
power operator
simplified neutrosophic sets (SNSs)
similarity measure
dual aggregation operators
neutrosophic logic
Q-linguistic neutrosophic variable set
Dice measure
pseudo-BCI algebra
interval neutrosophic sets
weak commutative neutrosophic triplet group
S-semigroup of neutrosophic triplets
construction project
neutrosophic cubic graphs
quasi neutrosophic loops
Choquet integral
neutrosophic G-metric
neutrosophic soft set
decision-making trial and evaluation laboratory (DEMATEL)
MM operator
Science (General)
maximizing deviation
multi-criteria group decision making
exponential operational laws of interval neutrosophic numbers
sustainable supplier selection problems (SSSPs)
totally dependent-neutrosophic set
analytic network process
multi-attribute decision-making (MADM)
aggregation operators
decision-making algorithms
neutrosophic classification
multi-attribute decision making
multi-criteria decision-making
extended ELECTRE III
multigranulation neutrosophic rough set (MNRS)
Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS)
neutrosophic computation
clustering algorithm
Maclaurin symmetric mean
neutosophic extended triplet subgroups
multiple attribute decision making problem
multiple attribute decision making (MADM)
fixed point theory (FPT)
generalized De Morgan algebra
simplified neutrosophic weighted averaging operator
neutrosophic c-means clustering
fuzzy graph
cloud model
vector similarity measure
shopping mall
neutrosophic clustering
photovoltaic plan
TODIM model
image segmentation
neutrosophic sets (NSs)
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Zusammenfassung: Neutrosophy (1995) is a new branch of philosophy that studies triads of the form (<A>, <neutA>, <antiA>), where <A> is an entity {i.e. element, concept, idea, theory, logical proposition, etc.}, <antiA> is the opposite of <A>, while <neutA> is the neutral (or indeterminate) between them, i.e., neither <A> nor <antiA>.Based on neutrosophy, the neutrosophic triplets were founded, which have a similar form (x, neut(x), anti(x)), that satisfy several axioms, for each element x in a given set.This collective book presents original research papers by many neutrosophic researchers from around the world, that report on the state-of-the-art and recent advancements of neutrosophic triplets, neutrosophic duplets, neutrosophic multisets and their algebraic structures – that have been defined recently in 2016 but have gained interest from world researchers. Connections between classical algebraic structures and neutrosophic triplet / duplet / multiset structures are also studied. And numerous neutrosophic applications in various fields, such as: multi-criteria decision making, image segmentation, medical diagnosis, fault diagnosis, clustering data, neutrosophic probability, human resource management, strategic planning, forecasting model, multi-granulation, supplier selection problems, typhoon disaster evaluation, skin lesson detection, mining algorithm for big data analysis, etc.
ISBN: 9783038973843

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